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Finding the Fourth Proportional to 10,382.02, 15,578.46 and 6,230.38

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Solution

The fourth proportional to 10,382.02, 15,578.46 and 6,230.38 is: 9,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.02 : 15,578.46 = 6,230.38 : x
  2. Step 2: Convert to fraction form
    10,382.02/15,578.46 = 6,230.38/x
  3. Step 3: Cross multiply
    10,382.02x = 15,578.46 × 6,230.38
  4. Step 4: Simplify right side
    10,382.02x = 97,059,725.61
  5. Step 5: Solve for x
    x = 97,059,725.61/10,382.02
  6. Step 6: Final answer
    x = 9,348.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.